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arxiv: 1004.3589 · v1 · pith:2ZCCT62Unew · submitted 2010-04-20 · 🧮 math-ph · math.MP· quant-ph

A new class of coherent states with Meixner-Pollaczek polynomials for the Gol'dman-Krivchenkov Hamiltonian

classification 🧮 math-ph math.MPquant-ph
keywords coherentstatesclassconstructeddman-krivchenkovhamiltonianmeixner-pollaczekpolynomials
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A class of generalized coherent states with a new type of the identity resolution are constructed by replacing the labeling parameter zn/n! of the canonical coherent states by Meixner-Pollaczek polynomials with specific parameters. The constructed coherent states belong to the state Hilbert space of the Gol'dman-Krivchenkov Hamiltonian.

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